What is the 2182nd prime number?
The 2182nd prime number is 19237. The next prime is 19249 (a gap of 12) and the one before is 19231.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2182nd one is 19237.
- 2
19237 is prime because no prime up to ā19237 ā 138.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2182nd prime is close to 2182 Ć ln(2182) ā 16775, and here it is 19237.
- 4
19237 has no twin: neither 19235 nor 19239 is prime.
Primes around the 2182nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2179 | 19213 | 2 |
| 2180 | 19219 | 6 |
| 2181 | 19231 | 12 |
| 2182 | 19237 | 6 |
| 2183 | 19249 | 12 |
| 2184 | 19259 | 10 |
| 2185 | 19267 | 8 |
Questions
What is the 2182nd prime number?
19237.
Which prime number is 19237?
19237 is the 2182nd prime number.
What is the sum of the first 2182 primes?
19,601,363.